FFT of a signal (non constant time)

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Discussion Overview

The discussion revolves around the feasibility and implications of performing a Fast Fourier Transform (FFT) on a signal sampled at non-constant time intervals. Participants explore the relationship between sampling frequency and time periods, as well as the periodicity of the signal in question.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether it is valid to take the FFT of a signal sampled at non-constant time intervals and seeks clarification on the implications of doing so.
  • Another participant points out that a sampling frequency of 6.5 Hz suggests a constant time period between samples, prompting a request for clarification on what is meant by non-constant time.
  • A participant explains that there are 719 data points collected over 111.8 seconds, leading to a calculated sampling frequency of 6.5 Hz, but acknowledges potential misleading aspects of this calculation.
  • One participant suggests that interpolating the data to achieve a constant sampling rate before applying the FFT could be a solution.

Areas of Agreement / Disagreement

Participants express differing views on the implications of non-constant time sampling for FFT analysis, with no consensus reached on whether the FFT can be appropriately applied in this context.

Contextual Notes

There are unresolved aspects regarding the assumptions about the signal's periodicity and the appropriateness of interpolation methods for preparing the data for FFT analysis.

mcodesmart
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I took the FFT of a signal that was taken at non constant time period (T), but at a sampling frequency(Fs) of 6.5 hz. Can I take the FFT of a signal with non constant T, and does it mean anything? Please see attachment.

Ps. I used Matlabs, FFT command, which i think uses the Cooley–Tukey FFT algorithm
 

Attachments

  • signal y(t).jpg
    signal y(t).jpg
    35.8 KB · Views: 621
  • Y(t) fft of signal.jpg
    Y(t) fft of signal.jpg
    14.9 KB · Views: 629
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If the sampling frequency is 6.5Hz, wouldn't that imply a constant time period between samples (153.8msec)? Or what do you mean by T?
 
What I mean is that over all, there are 719 data points taken at a non constant T for a total time period of 111.8 sec. From that, I came up with 6.5, but I see that is misleading.

Here are the timing points..

0.1025, 0.2554, 0.4199, 0.5935, 0.7738, 0.9509 ... 111.80

But signal is clearly periodic so I decided to take the FFT to see the frequencies.. But can I do that..
 

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